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Finding the Third Proportional to 330,492 and 525,258

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Solution

The third proportional to 330,492 and 525,258 is: 834,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,492 : 525,258 = 525,258 : x
  2. Step 2: Convert to fraction form
    330,492/525,258 = 525,258/x
  3. Step 3: Cross multiply
    330,492x = 525,258 × 525,258
  4. Step 4: Simplify right side
    330,492x = 275,895,966,564
  5. Step 5: Solve for x
    x = 275,895,966,564/330,492
  6. Step 6: Final answer
    x = 834,803.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.